Finding the Third Proportional to 276,041.50 and 418,204

Step by Step Solution

1. Step 1: Write the proportion equation
   276,041.50 : 418,204 = 418,204 : x
2. Step 2: Convert to fraction form
   276,041.50/418,204 = 418,204/x
3. Step 3: Cross multiply
   276,041.50x = 418,204 × 418,204
4. Step 4: Simplify right side
   276,041.50x = 174,894,585,616
5. Step 5: Solve for x
   x = 174,894,585,616/276,041.50
6. Step 6: Final answer
   x = 633,580.77